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Fast computation of the field of a vertical magnetic dipole above a layered medium

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Abstract

We consider the direct problem of aeroelectrosounding for a layered medium. The specific feature of this problem is that its solution is representable as a Bessel transform of a function ƒ of a certain type. We have developed and implemented a method for fast computation of the Bessel transform of such functions. The method relies on the approximation of ƒ by a linear combination of exponentials with prespecified exponents. The Bessel transform of the original function ƒ is computed analytically as the Bessel transform of the approximating linear combination. Numerical computations have been carried out.

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References

  1. V. I. Dmitriev, Electromagnetic Fields in Nonhomogeneous Media [in Russian], Moscow, Izd. MGU (1969).

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  2. W. L. Anderson, “Numerical integration of related Hankel transforms of order 0 and 1 by adaptive digital filtering,” Geophysics, 44, 1287–1305 (1979).

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  3. P. K. Gupta, S. Niwas, and N. Chaudhary, “Fast computation of Hankel transform using orthonormal exponential approximation of complex kernel function,” J. Earth System Sci., 115, No. 3 (2006).

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    V. I. Dmitriev

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    M. S. Kruglyakov

Authors
  1. V. I. Dmitriev
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  2. M. S. Kruglyakov
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Correspondence to V. I. Dmitriev.

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Translated from Prikladnaya Matematika i Informatika, No. 26, pp. 39–48, 2007.

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Dmitriev, V.I., Kruglyakov, M.S. Fast computation of the field of a vertical magnetic dipole above a layered medium. Comput Math Model 19, 263–270 (2008). https://doi.org/10.1007/s10598-008-9002-1

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  • DOI: https://doi.org/10.1007/s10598-008-9002-1

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